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Iteru [2.4K]
2 years ago
10

On January 1st 2020 the populations of Japan and the Philippines were 126.5million and 109.6 respectively. Japan's population is

currently decreasing by 0.2% per year while the population of the Philippines is increasing by 1.6% per year. If these rates of change remain constant, during which year will the two population be the same​
Mathematics
1 answer:
Elza [17]2 years ago
8 0
Well that will happen I’m not sure I think 2040
You might be interested in
Salmon often jump waterfalls to reach their breeding grounds. One salmon starts 2.00m from a waterfall that is 0.55m tall and ju
Law Incorporation [45]

Answer: 6.2 m/s

Explanation:

1) This is a projectile motion (parabolic)

2) Velocity:

i) initial velocity = V₀

ii) Horizontal component:

V₀x = V₀ cos α

The horizontal velocity is constant, so Vx = V₀x

ii) Vertical component:

V₀y = V₀ sin α

The vertical component is linear with acceleration = g ≈ 9.8 m/s²

Vy = V₀y - gt = V₀ sin α - gt

3) Displacement equations

i) Horizontal displacment:

x = V₀ cosα t

ii) Vertical displacement:

y = V₀ sin α t - g t² / 2

y ≈ V₀ sin α t - 4.9 t²

4) Solution

i) x = V₀ cosα t = V₀ cos(32°) t = 2.00 m ← salmon starts 2.00m from a waterfall

⇒ V₀ = 2 / [cos(32°) t ]

ii) y = V₀ sin α t - 4.9 t² = V₀ sin(32°) t - 4.9 t²

iii) Replace V₀ with 2 / [cos(32°) t ]

y = sin(32°) × 2 / [cos(32°) t ] × t - 4.9t² = 2 tan(32°) - 4.9t²

iv) Use jump's height (y = 0.55m) and solve

⇒ 0.55 = 2 tan(32°) - 4.9t²

t² = [2 tan(32°) - 0.55 ] / 4.9 = 0.143 s²

⇒ t = √ (0.143s²) = 0.38 s

v) Use V₀ = 2 / [cos(32°) t ] to find V₀

V₀ = 2 / [cos(32°) (0.38) ] = 6.2 m/s

8 0
2 years ago
Read 2 more answers
Line segment YV of rectangle YVWX measures 24 units. What is the length of line segment YX? 8 units units 12 units units
motikmotik
I assume there is a missing piece of information here, either the area or the perimeter should be given.
I'll just tell you how to solve this type of problems and you can apply using the information in your question.

If YV is the width of the rectangle, then YX will be its length.

Now, if the area is known:
area of triangle = width x length = YV x YX
YX = area / 24

If the perimeter is known:
perimeter of rectangle = 2 (length + width)
perimeter = 2 (YV + YX)
YX = (perimeter / 2) - 24
6 0
2 years ago
Read 2 more answers
Please, I'm confuse!
Ivahew [28]

OK.  You asked for it.  Here we go.
First, let's gather up the tools we might use ...
some things that we know about triangles:

-- Every triangle:  Area = (1/2) x (length of the base) x (the height)

-- Isosceles triangle:  It has two sides that are the same length.

-- Right triangle:  It has one right angle in it. 
The sides that meet at the right angle are called the "legs". 
They form a corner there, like this      _|     .
-------------------------------------------
Now we can start using these tools to hack away at the problem.
Farmer Ted has an isosceles right triangle garden.
The problem asks us to figure out how long the legs are.

Before he changes anything, it looks like this   _|   and both of
those sides are the same length.  Call it  'x' until we figure out
what it really is.

Notice that one of them is the base of the triangle, and the other one
is the height.  So the area of this triangle is

                           (1/2) (x) (x)  or  (1/2) x² .

-------------------------------

Farmer Ted is never satisfied.  Suddenly, one day without warning, he
comes along and makes the garden bigger.  He makes one of the legs 
7  ft longer, and he makes the other one  5 ft longer.

Now the length of one leg is  (x + 7)  and the other one is (x + 5) .
They're still the base and height of the triangle, so the area of the
bigger garden is
                           (1/2) (x + 7) (x + 5).

The problem says that this area is 55 square feet more than the original
area, so look out, here comes the <em>equation </em>:

                       new area         =      old area +  bigger

                (1/2) (x + 7) (x + 5)  =      (1/2) x²  +  55

Locked in the mysterious shadowy crevices of this equation is
everything we need in order to figure out the original length of the legs ...
what we called  'x'.

At this point, we can forget about Farmer Ted, forget about the garden,
and just go back to our laboratory with this equation and solve it to find  'x'.

Let's take it slow and easy, one little step at a time:

                                     <u>(1/2) (x + 7) (x + 5)  =  (1/2) x² + 55</u>

Multiply each side by 2 :         (x + 7) (x + 5)  =         x² +  110

Expand (FOIL) the left side:     x² + 12x + 35  =         x² + 110

Subtract  x²  from each side:          12x + 35  =                 110

Subtract  35  from each side:          12x         =                  75

Divide each side by  12 :                           <em>x  =  6.25 feet</em>

==============================================

OK.  That's a very nice number.  How do we know whether it's correct ?
Let's check it out, and see if it fits the story:

Original area = (1/2 x base x height) = (0.5 x 6.25 x 6.25) = 19.53125 sq ft

One new leg = (6.25 + 7) =   13.25 ft
Other new leg = (6.25 + 5) = 11.25 ft

New area = (1/2 x base x height) = (0.5 x 13.25 x 11.25) = 74.53125 sq ft

How much bigger is the new area ?

         74.53125 - 19.53125  =  <em>55 sq ft  </em>    yay !

When we start with legs that are  6.25-ft  and go through the whole story,
the new area is exactly what the problem says it was.  So  6.25-ft  is the
correct original length of the legs, before Farmer Ted messed with it.


7 0
2 years ago
Find the percent of change from 688 qt to 172 qt.
Alekssandra [29.7K]

There is 75% decrease.

Step-by-step explanation:

Given,

Old value = 688 qt

New value = 172 qt

Change = New value - Old value

Change = 172 - 688

Change = -516 qt

The negative sign indicates decrease.

Decrease percent = \frac{Change}{Old\ value}*100

Decrease percent = \frac{516}{688}*100

Decrease percent = \frac{51600}{688}

Decrease percent = 75%

There is 75% decrease.

Keywords: division, subtraction

Learn more about subtraction at:

  • brainly.com/question/10196212
  • brainly.com/question/1021953

#LearnwithBrainly

3 0
2 years ago
Read 2 more answers
Your new flashlight uses a parabolic mirror which can be modeled by the equation (x – 2)² = 5(y + 1), where x and y are measured
Ksju [112]
The given equation is
(x - 2)² = 5(y + 1).

The given equation for the parabola is in the standard form
(x - h)² = 4p(y - k)
where
h = 2
4p = 5,    so that  p = 5/4
k = -1

The vertex is at 
(h,k) or (2, -1)

The focus is located at
(h, k + p) or (2, -1 + 5/4) = (2, 1/4)

We should place the bulb at p = 5/4 from the vertex.

Answer: 1 1/4 or 1.25 cm
 

6 0
2 years ago
Read 2 more answers
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